diff --git a/data/katsura-20-partial.json b/data/katsura-20-partial.json
new file mode 100644
index 0000000000000000000000000000000000000000..98f30768d1e3559b9a91bac65a95d5ec0426c5ae
--- /dev/null
+++ b/data/katsura-20-partial.json
@@ -0,0 +1,2361 @@
+{
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+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I"
+    ],
+    [
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "1.00000000000000"
+    ],
+    [
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "1.00000000000000",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000"
+    ],
+    [
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "-1.00000000000000 + 1.22464679914735e-16*I",
+      "1.00000000000000",
+      "1.00000000000000"
+    ]
+  ]
+}
\ No newline at end of file
diff --git a/tests/eval-katsura-20.rs b/tests/eval-katsura-20.rs
new file mode 100644
index 0000000000000000000000000000000000000000..1e4a06a3cfc60fb5557dd69b1d0c10a044efc81b
--- /dev/null
+++ b/tests/eval-katsura-20.rs
@@ -0,0 +1,63 @@
+// Copyright 2024 Pierre Lairez
+// SPDX-License-Identifier: GPL-3.0-or-later
+
+use std::{collections::HashMap, path::PathBuf};
+
+use algpath::{
+    num::{ComplexIntervalEvaluator, CIF},
+    reckless_interval::Interval,
+    track::ProjectivePoint,
+};
+
+use nalgebra::DVector;
+
+#[test]
+fn eval_katsura_20() {
+    let path = PathBuf::from("data/katsura-20-partial.json");
+    let conf = algpath::cli::Configuration {
+        path: Some(path),
+        ..Default::default()
+    };
+
+    let mut input_problem = algpath::cli::Problem::new_from_input(&conf).unwrap();
+    let parametric_system = input_problem.build_parametric_system(&conf).unwrap();
+
+    let n = input_problem.system.len();
+    let mut pt: Vec<CIF> = Vec::new();
+    for i in 1..=n {
+        pt.push(CIF::new(Interval::new(i as f64, i as f64), Interval::ZERO));
+    }
+    let mut buf: Vec<CIF> = Vec::new();
+
+    let val = parametric_system.f(
+        &DVector::from_element(1, CIF::ONE),
+        &ProjectivePoint {
+            coord: pt.clone().into(),
+            chart: 0,
+        },
+        &mut buf,
+        ComplexIntervalEvaluator {},
+    );
+
+    let reference_values = [
+        460, 6620, 6158, 5701, 5252, 4814, 4390, 3983, 3596, 3232, 2894, 2585, 2308, 2066, 1862,
+        1699, 1580, 1508, 1486, 1517, 1604,
+    ];
+
+    for i in 0..=20 {
+        println!("{}", input_problem.system[i]);
+        // direct evaluation
+        let mut pt_dict = HashMap::new();
+        pt_dict.insert(input_problem.parameters[0].clone(), CIF::ONE);
+        for i in 0..=20 {
+            pt_dict.insert(input_problem.variables[i].clone(), pt[i]);
+        }
+        let val0 = input_problem.system[i].eval(&pt_dict).unwrap();
+
+        assert!(val0.im().contains_zero());
+        assert!(val0.re().contains(reference_values[i] as f64));
+
+        assert!(val[i].im().contains_zero());
+        assert!(val[i].re().contains(reference_values[i] as f64));
+    }
+}